Titlebook: Numerical Boundary Value ODEs; Proceedings of an In Uri M. Ascher,Robert D. Russell Conference proceedings 1985 Birkh�user Boston, Inc. 198

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A Finite Difference Method for the Basic Stationary Semiconductor Device Equationsese equations model potential distribution, carrier concentration and current flow in an arbitrary one-dimensional semiconductor device and they consist of three second order ordinary differential equations subject to boundary conditions. A small parameter appears as multiplier of the second derivat

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Solution of Premixed and Counterflow Diffusion Flame Problems by Adaptive Boundary Value Methodscs with complicated transport phenomena. Two of the simplest models in which these processes are studied are the premixed laminar flame and the counterflow diffusion flame. In both cases the flow is essentially one-dimensional and the governing equations can be reduced to a set of coupled nonlinear

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Improving the Performance of Numerical Methods for Two Point Boundary Value Problemshe convergence requirements of the corresponding iteration schemes (used to solve the discretized problem) has been investigated. Appropriate modifications to these methods which permit the effective solution of such problems will be discussed. We will also identify a subfamily of the Runge-Kutta me

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Riccati Transformations: When and How to Use?In this paper the problem of interest is a well-conditioned n-dimensional boundary value problem (BVP): .subject to the boundary conditions . (B.,B. ∈IR. and b ∈ IR.).